Finding the Third Proportional to 19,746 and 31,419

Step by Step Solution

1. Step 1: Write the proportion equation
   19,746 : 31,419 = 31,419 : x
2. Step 2: Convert to fraction form
   19,746/31,419 = 31,419/x
3. Step 3: Cross multiply
   19,746x = 31,419 × 31,419
4. Step 4: Simplify right side
   19,746x = 987,153,561
5. Step 5: Solve for x
   x = 987,153,561/19,746
6. Step 6: Final answer
   x = 49,992.58